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Finding the Fourth Proportional to 538.20, 802.76 and 491.04

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Solution

The fourth proportional to 538.20, 802.76 and 491.04 is: 732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.20 : 802.76 = 491.04 : x
  2. Step 2: Convert to fraction form
    538.20/802.76 = 491.04/x
  3. Step 3: Cross multiply
    538.20x = 802.76 × 491.04
  4. Step 4: Simplify right side
    538.20x = 394,184.82
  5. Step 5: Solve for x
    x = 394,184.82/538.20
  6. Step 6: Final answer
    x = 732.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.